Author: Jeremiah Bartz, Associate Professor of Mathematics, University of North Dakota A shard of smooth bone etched with irregular marks dating back 20,000 years puzzled archaeologists until they noticed something unique – the etchings, lines like tally marks, may have represented prime numbers. Similarly, a clay tablet from 1800 B.C.E. inscribed with Babylonian numbers describes […]
I finished my last entry expressing my perplexity by the ‘solution’ mathematicians offered six decades ago to the problem of the continuum : Cohen’s theorem according to which both the assumption that there is some set (say, C) larger than the set of natural numbers but smaller than the set of real numbers, and the […]
Kirigami is a traditional Japanese art form that entails cutting and folding paper (origami is just folding it) to produce complex three-dimensional (3D) structures or objects. Over the past decades, this creative practice has also been applied in the context of physics, engineering, and materials science research to create new materials, devices and even robotic […]
Infinity has always been one of the most fascinating and perplexing concepts in mathematics. For ancient Greek mathematicians, it was (in a similar way to the notion of zero) something like a non-concept, i.e., something that one was not allowed to think, and only might express and use by means of circumloquia at the best […]
The propagation of light -observed and governed since ancient times by simple lens construction- has long been described through classical geometrical optics. However, in particle accelerators we do not transport photons but beams of electrically charged particles subjected to repulsive forces that tend to unpack the particle beams. Optics of particle accelerators require electromagnetic lenses […]
Scientists have used computational algebraic geometry to study predictions for particle physics experiments, such as those at the Large Hadron Collider (LHC). These experiments, in combination with new mathematical tools, help to solve unanswered questions in physics in a much faster way and have a profound impact on our understanding of nature. When studying particle […]
A roasted and ground coffee matrix is a highly complex porous medium characterized by multiscale features. A typical coffee matrix used for double-shot espresso brew is about 15 ml in volume and consists of millions of coffee particles. These coffee particles are produced by grinding roasted coffee beans, and have an approximately bimodal size distribution […]
I am these days reading the delightful (though at times quite demanding) Reviel Netz’s A New History of Greek Mathematics, and I have not resisted the temptation of sharing with you some of the many pearls it contains. One of the most interesting aspects of the book is that it is not a mere ‘survey’ […]
Computer science • Energy • Mathematics • Mechanical Engineering
Floating offshore wind (FOW) is one of the most rapidly growing forms of green power. As of 2021 though, there were only 113 MW in operation in Europe, although this figure is predicted to triple by the end of 2024, and escalate up to 10 GW by 2030 and 150 GW by 2050. The current […]
In probability theory and statistics, a collection of random variables is independent and identically distributed (iid) if each random variable has the same probability distribution as the others and all are mutually independent. Most supervised machine learning methods assume that training and testing or production samples are drawn iid from the same underlying distribution. But […]